Gavrilets, S. 1998. ``One-locus two-allele models with maternal
(parental) selection'' Genetics 149: 1147-1152
ABSTRACT
I formulate and study a series of simple one-locus two-allele
models for maternal (parental) selection. I show that maternal (parental)
selection can result in simultaneous stability of equilibria of different
types. Thus, in the presence of maternal (parental) selection the outcome
of population evolution can significantly depend on initial conditions.
With maternal selection genetic variability can
be maintained in the population even if none of the offspring of heterozygous mothers survive. I demonstrate that
interactions of maternal and paternal selection can result in stable
oscillations of genotype frequencies. A necessary condition for cycling
is strong selection.